Data Collection & Graphs

11 Grade 5 Mathematics questions on Data Collection & Graphs, with worked marking schemes. 11 questions are available on this topic in full.

1. Question 1

   1 mark

   Data: 5, 5, 7, 8, 9, 9, 9. What is the mode?

   A. 7

   B. 9

   C. 8

   D. 5

   (1 mark)

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2. Question 2

   1 mark

   A pictograph shows each picture = 10 students. If 3 pictures are shown for class A, how many students?

   A. 13

   B. 20

   C. 30

   D. 3

   (1 mark)

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3. Question 3

   1 mark

   Find the mean of: 4, 6, 8, 10, 12.

   A. 9

   B. 8

   C. 6

   D. 10

   (1 mark)

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4. Question 4

   3 marks

   The number of pupils in a Grade 5 class who chose each fruit as their favourite is shown below.

   Mango: 12, Banana: 8, Orange: 6, Apple: 4

   (a) How many pupils are in the class altogether? (2 marks)

   (b) Which fruit was chosen by the most pupils? (1 mark)

   (3 marks)

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5. Question 5

   1 mark

   The most common value in a data set is called the ___.

   A. Mean

   B. Median

   C. Mode

   D. Range

   (1 mark)

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6. Question 6

   1 mark

   The scores of 5 pupils are 60, 70, 80, 90, 50. Find the mean score.

   A. 70

   B. 80

   C. 75

   D. 60

   (1 mark)

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7. Question 7

   1 mark

   Find the median of: 3, 7, 5, 9, 1.

   A. 9

   B. 7

   C. 5

   D. 3

   (1 mark)

   Marking scheme

   C. $5$ — the median is the middle value, so put them in order first: $1,3,5,7,9$. Without ordering, the middle of the list as written looks like $5$ by luck, but the ordering step is what makes it correct.

8. Question 8

   1 mark

   Which type of graph is best for showing change over time?

   A. Pictograph

   B. Pie chart

   C. Line graph

   D. Bar chart

   (1 mark)

   Marking scheme

   C. Line graph — a line joins points in time order, so its slope shows the trend. A bar chart compares separate categories and a pie chart shows shares of a whole.

9. Question 9

   1 mark

   In a class of 30, 12 pupils like football. The rest prefer running. What fraction prefers running?

   A. $\frac{2}{5}$

   B. $\frac{2}{3}$

   C. $\frac{1}{3}$

   D. $\frac{3}{5}$

   (1 mark)

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10. Question 10

    1 mark

    Find the range of: 15, 8, 23, 4, 19.

    A. 8

    B. 23

    C. 15

    D. 19

    (1 mark)

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11. Question 11

    1 mark

    A bar chart shows: Mon=20, Tue=35, Wed=25. What was the total for Mon and Wed?

    A. 55

    B. 60

    C. 80

    D. 45

    (1 mark)

    Marking scheme

    D. $45$ — the question asks only for Monday and Wednesday: $20+25=45$. C adds all three days, including the Tuesday that was not asked for.

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